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Finding the Third Proportional to 93,550 and 143,784

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Solution

The third proportional to 93,550 and 143,784 is: 220,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,550 : 143,784 = 143,784 : x
  2. Step 2: Convert to fraction form
    93,550/143,784 = 143,784/x
  3. Step 3: Cross multiply
    93,550x = 143,784 × 143,784
  4. Step 4: Simplify right side
    93,550x = 20,673,838,656
  5. Step 5: Solve for x
    x = 20,673,838,656/93,550
  6. Step 6: Final answer
    x = 220,992.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.